Details

sample97.0ms

Algorithm

intervals

Results

22.0ms	29×	body	1280	valid
19.0ms	175×	body	80	valid
17.0ms	11×	body	320	valid
17.0ms	33×	body	640	valid
2.0ms	8×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	21
1	13
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-sqr-sqrt`
7×	`fma-def` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`sum-log`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

6.0ms	(+ x (sin y))
55.0ms	(+ (+ x (sin y)) (* z (cos y)))
7.0ms	(* z (cos y))

series142.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ x (sin y))
60.0ms	(+ (+ x (sin y)) (* z (cos y)))
52.0ms	(* z (cos y))

simplify1.0s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	812
1	218
0	85

prune295.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series691.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
152.0ms	(cbrt (cos y))
129.0ms	(cbrt (cos y))
160.0ms	(cbrt (cos y))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	640
1	152
0	68

prune526.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

30.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
7.0ms	(cbrt (* z (cos y)))
7.0ms	(cbrt (* z (cos y)))
7.0ms	(cbrt (* z (cos y)))

series858.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
204.0ms	(cbrt (* z (cos y)))
214.0ms	(cbrt (* z (cos y)))
194.0ms	(cbrt (* z (cos y)))

simplify545.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	819
1	205
0	85

prune558.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (sin y)))
0.5b	(cbrt (+ x (sin y)))
0.5b	(cbrt (+ x (sin y)))
0.5b	(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

4.0ms	(cbrt (+ x (sin y)))
4.0ms	(cbrt (+ x (sin y)))
4.0ms	(cbrt (+ x (sin y)))
40.0ms	(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))

series383.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (+ x (sin y)))
92.0ms	(cbrt (+ x (sin y)))
90.0ms	(cbrt (+ x (sin y)))
84.0ms	(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))

simplify750.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1534
1	385
0	153

prune865.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes233.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	913×	body	1280	valid
898.0ms	5669×	body	80	valid
385.0ms	846×	body	640	valid
217.0ms	383×	body	320	valid
42.0ms	189×	body	160	valid